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Volumn 31, Issue 1-2, 2002, Pages 31-75

Belief function independence: II. The conditional case

Author keywords

Belief functions; Conditional doxastic independence; Conditional irrelevance; Conditional non interactivity; Transferable belief model

Indexed keywords

APPROXIMATION THEORY; ARTIFICIAL INTELLIGENCE; MATHEMATICAL MODELS; THEOREM PROVING;

EID: 0036788747     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(02)00072-5     Document Type: Article
Times cited : (49)

References (31)
  • 3
    • 28344444691 scopus 로고    scopus 로고
    • Independence concepts for belief functions
    • Bouchon-Meunier B., Gutiérrez J., Magdalena L., Yager R. (Eds.), Physica-Verlag, Wurzburg
    • Ben Yaghlane B., Smets P., Mellouli K. Independence concepts for belief functions. Bouchon-Meunier B., Gutiérrez J., Magdalena L., Yager R. Technologies for Constructing Intelligent Systems: Vol. II Tools. In the Series Studies in Fuzziness and Soft Computing. 2001;45-58 Physica-Verlag, Wurzburg. A short version has been appeared in IPMU'2000, Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, Vol. I, pp. 357-364, 2000.
    • (2001) Technologies for Constructing Intelligent Systems: Vol. II Tools, In the Series Studies in Fuzziness and Soft Computing , vol.2 , pp. 45-58
    • Ben Yaghlane, B.1    Smets, P.2    Mellouli, K.3
  • 4
    • 0010599251 scopus 로고    scopus 로고
    • Madrid
    • Ben Yaghlane B., Smets P., Mellouli K. Independence concepts for belief functions. Bouchon-Meunier B., Gutiérrez J., Magdalena L., Yager R. Technologies for Constructing Intelligent Systems: Vol. II Tools. In the Series Studies in Fuzziness and Soft Computing. 2001;45-58 Physica-Verlag, Wurzburg. A short version has been appeared in IPMU'2000, Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, Vol. I, pp. 357-364, 2000.
    • (2000) IPMU'2000, Information Processing and Management of Uncertainty in Knowledge-based Systems , vol.1 , pp. 357-364
  • 6
    • 84947941196 scopus 로고    scopus 로고
    • Irrelevance and independence axioms in quasi-Bayesian theory
    • Hunter T., Parsons S. (Eds.), Proceedings of European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty ECSQARU'99, Springer-Verlag, Berlin
    • Cozman F.G. Irrelevance and independence axioms in quasi-Bayesian theory. Hunter T., Parsons S. Proceedings of European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty ECSQARU'99. Lecture Notes in AI 1638. 1999;128-136 Springer-Verlag, Berlin.
    • (1999) Lecture Notes in AI , vol.1638 , pp. 128-136
    • Cozman, F.G.1
  • 7
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory
    • Dawid A.P. Conditional independence in statistical theory. J. Roy. Statist. Soc., Ser. B. 41:1979;1-31.
    • (1979) J. Roy. Statist. Soc., Ser. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 8
    • 0010565281 scopus 로고    scopus 로고
    • Conditional independence
    • Dawid A.P. Conditional independence. Encycl. Statist. Sci. 2:1998;146-155.
    • (1998) Encycl. Statist. Sci. , vol.2 , pp. 146-155
    • Dawid, A.P.1
  • 9
    • 0035647456 scopus 로고    scopus 로고
    • Separoids: A mathematical framework for conditional independence and irrelevance
    • Dawid A.P. Separoids: A mathematical framework for conditional independence and irrelevance. Ann. Math. Artif. Intell. 32:2001;335-372.
    • (2001) Ann. Math. Artif. Intell. , vol.32 , pp. 335-372
    • Dawid, A.P.1
  • 10
    • 0010565192 scopus 로고    scopus 로고
    • Conditional products: An alternative approach to conditional independence
    • Heckerman D., Whittaker J. (Eds.), Morgan Kaufmann, Los Altos, CA
    • Dawid A.P., Studeny M. Conditional products: An alternative approach to conditional independence. Heckerman D., Whittaker J. Artificial Intelligence and Statistics 99. 1999;32-40 Morgan Kaufmann, Los Altos, CA.
    • (1999) Artificial Intelligence and Statistics 99 , pp. 32-40
    • Dawid, A.P.1    Studeny, M.2
  • 12
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multiple valued mapping
    • Dempster A.P. Upper and lower probabilities induced by a multiple valued mapping. Ann. Math. Statist. 38:1967;325-339.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 13
    • 0017532380 scopus 로고
    • Multivalued dependencies and a new form for relational databases
    • Fagin R. Multivalued dependencies and a new form for relational databases. ACM Trans. Database Syst. 2(3):1977;262-278.
    • (1977) ACM Trans. Database Syst. , vol.2 , Issue.3 , pp. 262-278
    • Fagin, R.1
  • 14
    • 0002591946 scopus 로고
    • Conditional independence in possibility theory
    • Heckerman D., Poole D., Lopez De Mantaras R. (Eds.), Morgan Kaufmann, San Mateo, CA
    • Fonck P. Conditional independence in possibility theory. Heckerman D., Poole D., Lopez De Mantaras R. Uncertainty in Artificial Intelligence 94. 1994;221-226 Morgan Kaufmann, San Mateo, CA.
    • (1994) Uncertainty in Artificial Intelligence 94 , pp. 221-226
    • Fonck, P.1
  • 15
    • 0010530230 scopus 로고
    • Graphoids and natural conditional functions
    • Hunter D. Graphoids and natural conditional functions. Int. J. Approx. Reasoning. 5:1991;489-504.
    • (1991) Int. J. Approx. Reasoning , vol.5 , pp. 489-504
    • Hunter, D.1
  • 16
    • 0024641782 scopus 로고
    • Linear utility theory for belief functions
    • Jaffray J.Y. Linear utility theory for belief functions. Oper. Res. Lett. 8:1989;107-112.
    • (1989) Oper. Res. Lett. , vol.8 , pp. 107-112
    • Jaffray, J.Y.1
  • 17
    • 0003356491 scopus 로고
    • A mathematical theory of hints: An approach to Dempster-Shafer theory of evidence
    • Springer-Verlag, Berlin
    • Kohlas J., Monney P.A. A Mathematical Theory of Hints: An Approach to Dempster-Shafer Theory of Evidence. Lecture Notes in Economics and Mathematical Systems. 425:1995;Springer-Verlag, Berlin.
    • (1995) Lecture Notes in Economics and Mathematical Systems , vol.425
    • Kohlas, J.1    Monney, P.A.2
  • 18
    • 0010598982 scopus 로고
    • Technical report, S-122 Harvard University and N239, University of Chicago, Department of Statistics
    • C.T.A. Kong, A belief function generalization of gibbs ensemble. Technical report, S-122 Harvard University and N239, 1988, University of Chicago, Department of Statistics.
    • (1988) A belief function generalization of gibbs ensemble
    • Kong, C.T.A.1
  • 20
    • 0002885754 scopus 로고
    • Graphoids: A graph based logic for reasoning about relevance relations
    • Boulay B.D. et al. (Eds.), North-Holland, Amsterdam
    • Pearl J., Paz A. Graphoids: A graph based logic for reasoning about relevance relations. Boulay B.D.et al. Advances in Artificial Intelligence. 2:1987;357-363 North-Holland, Amsterdam.
    • (1987) Advances in Artificial Intelligence , vol.2 , pp. 357-363
    • Pearl, J.1    Paz, A.2
  • 22
  • 23
    • 38149144317 scopus 로고
    • Conditional independence in valuation-based systems
    • Shenoy P.P. Conditional independence in valuation-based systems. Int. J. Approx. Reasoning. 10:1994;203-234.
    • (1994) Int. J. Approx. Reasoning , vol.10 , pp. 203-234
    • Shenoy, P.P.1
  • 24
    • 0003106837 scopus 로고
    • Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem
    • Smets P. Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem. Int. J. Approx. Reasoning. 9:1993;1-35.
    • (1993) Int. J. Approx. Reasoning , vol.9 , pp. 1-35
    • Smets, P.1
  • 25
    • 0010528955 scopus 로고
    • Probability, possibility, belief: Which for what?
    • De Cooman G., Da R., Kerre E.E. (Eds.), World Scientific, Singapore
    • Smets P. Probability, possibility, belief: which for what? De Cooman G., Da R., Kerre E.E. Foundation and Applications of Possibility Theory. 1995;20-40 World Scientific, Singapore.
    • (1995) Foundation and Applications of Possibility Theory , pp. 20-40
    • Smets, P.1
  • 26
    • 0001099497 scopus 로고    scopus 로고
    • The transferable belief model for quantified belief representation
    • Gabbay D.M., Smets P. (Eds.), Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Smets P. The transferable belief model for quantified belief representation. Gabbay D.M., Smets P. Handbook of Defeasible Reasoning and Uncertainty Management Systems. vol. 1:1998;267-301 Kluwer Academic Publishers, Dordrecht, The Netherlands.
    • (1998) Handbook of Defeasible Reasoning and Uncertainty Management Systems , vol.1 , pp. 267-301
    • Smets, P.1
  • 28
    • 0000731447 scopus 로고
    • Ordinal conditional functions: A dynamic theory of episemic states
    • Harper W., Skyrms B. (Eds.)
    • Spohn W. Ordinal conditional functions: A dynamic theory of episemic states. Harper W., Skyrms B. Causation in Decision, Belief Changes and Statistics. 1988;105-134.
    • (1988) Causation in Decision, Belief Changes and Statistics , pp. 105-134
    • Spohn, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.